y^2+3y=40

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Solution for y^2+3y=40 equation:


Simplifying
y2 + 3y = 40

Reorder the terms:
3y + y2 = 40

Solving
3y + y2 = 40

Solving for variable 'y'.

Reorder the terms:
-40 + 3y + y2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 3y + y2 = 0

Factor a trinomial.
(-8 + -1y)(5 + -1y) = 0

Subproblem 1

Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-8, 5}

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